Physics 321 -- Spring 2004

Homework #3, due at beginning of class Wednesday Feb. 4

1.         [3pts] Marion & Thornton: problem 9-4.

            When you are finished, check that your answer is reasonable in the limit of theta approaching zero, and theta approaching 2Pi.  

2.         [3pts] Marion & Thornton, problem 9-8.

            (The angles of the triangle are 45, 45, 90 degrees.)

3.         [4pts] Marion & Thornton, problem 9-9.

            Hint:  First calculate the projectile’s velocity and kinetic energy at the moment just before it explodes.  Then use conservation laws to calculate the velocity components immediately after the explosion. 

4.         [3pts] Marion & Thornton, problem 9-21.

            When you are finished, check that your answer is reasonable in the limits M1 >> M2 and M1 << M2.

5.         [4pts] Marion & Thornton, problem 9-22.

            Hint: Use energy conservation. To calculate the kinetic energy, first find the Cartesian coordinates (x,y) of the mass, as a function of theta.

6.         [4pts] Marion & Thornton, problem 9-28.

            (The incoming velocity label in the diagram should be v_i; the outgoing velocity label should be v_f. The form of your answer depends on how you choose the coordinate system, so don't worry if your result is different from the one given in the back of the book.)

7.         [3pts] Marion & Thornton, problem 9-35.

8.         [3pts] Marion & Thornton, problem 9-16.

None of the problems this week require the use of a computer. However, you may prefer to use Mathematica or one of its alternatives to solve one or two of the algebraically intensive problems, instead of doing them by hand.

(Last updated 2/3/2004.)